Metrics for Expression 3, p15

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

Precisions

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

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

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

sample1.5s (41.3%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 727.0ms

ival-mult: 522.0ms (71.8% of total)

ival-<=: 103.0ms (14.2% of total)

ival-add: 72.0ms (9.9% of total)

const: 14.0ms (1.9% of total)

ival-and: 13.0ms (1.8% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess82.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-neg`
169×	`fma-define`
64×	`associate-r`
52×	`distribute-lft-neg-in`
39×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	124
1	52	104
2	157	104
3	486	104
4	860	104
5	1031	104
6	1037	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (+.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))

explain54.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(.f64 x (.f64 x x))`
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Results

30.0ms

512×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 11.0ms (77% of total)

ival-add: 3.0ms (21% of total)

const: 1.0ms (7% of total)

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

eval1.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
▶	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize155.0ms (4.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	99.8%	(.f64 x (.f64 x x))

Results

137.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 17.0ms (49% of total)

ival-mult: 8.0ms (23% of total)

ival-fma: 6.0ms (17.3% of total)

ival-add: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

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

series6.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 x x))>
#<alt (+.f64 (.f64 x (.f64 x x)) (*.f64 x x))>

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

Calls

6 calls:

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

rewrite413.0ms (11.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff`
447×	`log1p-expm1-u`
447×	`expm1-log1p-u`
428×	`unpow-prod-down`
385×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	103	34
2	1341	34

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(.f64 x (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 x x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(*.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (+.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #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) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.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)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg`
341×	`exp-prod`
320×	`cancel-sign-sub-inv`
305×	`fma-define`
245×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	227	3438
1	449	3354
2	943	3354
3	3018	3354

Stop Event

1×	node limit

Counts

122 → 109

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 x x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(*.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (+.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #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) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.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)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))

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

eval23.0ms (0.7%)

Compiler: Compiled 1296 to 857 computations (33.9% saved)

prune19.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	108	3	111

Accuracy

100.0%

Counts

111 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(pow.f64 x #s(literal 2 binary64))
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	86.2%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize56.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	86.2%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))

Results

40.0ms

256×

valid

Compiler

Compiled 30 to 22 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 15.0ms (55.9% of total)

ival-div: 6.0ms (22.3% of total)

ival-add: 3.0ms (11.2% of total)

ival-mult: 2.0ms (7.4% of total)

const: 2.0ms (7.4% of total)

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

series3.0ms (0.1%)

Counts

2 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (pow x 3) (+ 1 (/ 1 x)))
0.0ms	x	@	0	(* (pow x 3) (+ 1 (/ 1 x)))
0.0ms	x	@	inf	(* (pow x 3) (+ 1 (/ 1 x)))
0.0ms	x	@	0	(+ 1 (/ 1 x))
0.0ms	x	@	inf	(+ 1 (/ 1 x))

rewrite105.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`unpow-prod-down`
571×	`log1p-expm1-u`
571×	`expm1-log1p-u`
416×	`prod-diff`
294×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	140	41
2	1758	40

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Outputs
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.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) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64))) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))

simplify110.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg`
461×	`associate-l`
457×	`associate-r`
399×	`cancel-sign-sub-inv`
312×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	3772
1	551	3593
2	1145	3396
3	4370	3309

Stop Event

1×	node limit

Counts

122 → 148

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.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) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64))) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))

Outputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (pow.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 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.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 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.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 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

eval118.0ms (3.3%)

Compiler: Compiled 2062 to 1572 computations (23.8% saved)

prune37.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	148	3	151

Accuracy

100.0%

Counts

151 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(pow.f64 x #s(literal 2 binary64))
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	85.0%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

localize38.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	86.1%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))

Results

29.0ms

256×

valid

Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 9.0ms (55.3% of total)

ival-div: 4.0ms (24.6% of total)

ival-mult: 2.0ms (12.3% of total)

const: 1.0ms (6.1% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))>

Outputs
#<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))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (pow x 3) (/ 1 x))
0.0ms	x	@	0	(* (pow x 3) (/ 1 x))
0.0ms	x	@	-inf	(* (pow x 3) (/ 1 x))

rewrite66.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`unpow-prod-down`
342×	`log1p-expm1-u`
342×	`expm1-log1p-u`
334×	`add-exp-log`
307×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	107	10
2	1189	10

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7/6 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

492×	`div-sub`
455×	`exp-prod`
348×	`distribute-lft-neg-in`
334×	`times-frac`
332×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	4294967969
1	148	4294967969
2	297	4294967969
3	748	4294967969
4	3031	4294967969

Stop Event

1×	node limit

Counts

46 → 38

Calls

Call 1

Inputs
(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 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7/6 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))

Outputs
(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 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7/6 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))

eval6.0ms (0.2%)

Compiler: Compiled 264 to 198 computations (25% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	38	3	41

Accuracy

100.0%

Counts

41 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(pow.f64 x #s(literal 2 binary64))
▶	85.0%	(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 20 to 11 computations (45% saved)

localize28.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	86.2%	(/.f64 (pow.f64 x #s(literal 3 binary64)) x)

Results

19.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

ival-pow: 9.0ms (78.7% of total)

ival-div: 2.0ms (17.5% of total)

const: 1.0ms (8.7% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (pow.f64 x #s(literal 3 binary64)) x)>

Outputs
#<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))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (pow x 3) x)
0.0ms	x	@	inf	(/ (pow x 3) x)
0.0ms	x	@	-inf	(/ (pow x 3) x)

rewrite67.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

401×	`unpow-prod-down`
302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
301×	`add-exp-log`
274×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	79	10
2	970	10

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 7/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -7/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)))

simplify101.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg`
456×	`fma-define`
420×	`associate-*r/`
279×	`associate-*l/`
269×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	4294968810
1	321	4294968774
2	671	4294968732
3	1786	4294968732
4	5776	4294968732

Stop Event

1×	node limit

Counts

80 → 92

Calls

Call 1

Inputs
(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 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 7/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -7/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)))

Outputs
(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 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 7/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 7/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 7/6 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -7/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7/6 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7/6 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -7/6 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -7/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 x #s(literal -7/6 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -5/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 x #s(literal 2 binary64))

eval18.0ms (0.5%)

Compiler: Compiled 813 to 574 computations (29.4% saved)

prune12.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	92	3	95

Accuracy

100.0%

Counts

95 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.0%	(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
	98.8%	(*.f64 x x)

Compiler

Compiled 63 to 34 computations (46% saved)

regimes6.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Outputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Calls

2 calls:

3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes4.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	14	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 x x)

Outputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(*.f64 x x)

soundness327.0ms (9.3%)

Rules

565×	`unpow-prod-down`
401×	`unpow-prod-down`
342×	`log1p-expm1-u`
342×	`expm1-log1p-u`
334×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	79	10
2	970	10
0	10	19
1	107	10
2	1189	10
0	14	124
1	52	104
2	157	104
3	486	104
4	860	104
5	1031	104
6	1037	104

Stop Event

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

Compiler

Compiled 111 to 45 computations (59.5% saved)

preprocess33.0ms (0.9%)

Compiler: Compiled 74 to 32 computations (56.8% saved)

Expression 3, p15

analyze0.0ms (0%)

sample1.5s (41.3%)

preprocess82.0ms (2.3%)

explain54.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize155.0ms (4.4%)

series6.0ms (0.2%)

rewrite413.0ms (11.7%)

simplify103.0ms (2.9%)

eval23.0ms (0.7%)

prune19.0ms (0.5%)

localize56.0ms (1.6%)

series3.0ms (0.1%)

rewrite105.0ms (3%)

simplify110.0ms (3.1%)

eval118.0ms (3.3%)

prune37.0ms (1%)

localize38.0ms (1.1%)

series1.0ms (0%)

rewrite66.0ms (1.9%)

simplify65.0ms (1.8%)

eval6.0ms (0.2%)

prune8.0ms (0.2%)

localize28.0ms (0.8%)

series1.0ms (0%)

rewrite67.0ms (1.9%)

simplify101.0ms (2.9%)

eval18.0ms (0.5%)

prune12.0ms (0.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

simplify2.0ms (0.1%)

soundness327.0ms (9.3%)

preprocess33.0ms (0.9%)

end0.0ms (0%)

Profiling