Metrics for exp neg sub

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

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

ival-exp: 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-neg: 0.0ms (0% of total)

sample905.0ms (21.5%)

Results

688.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 432.0ms

ival-sub: 187.0ms (43.3% of total)

ival-mult: 114.0ms (26.4% of total)

ival-exp: 74.0ms (17.1% of total)

ival-neg: 43.0ms (9.9% of total)

const: 10.0ms (2.3% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess132.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

949×	`exp-sum`
778×	`fmm-def`
494×	`fma-define`
431×	`associate-+r+`
341×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	752	80
7	1169	80
8	2058	80
9	3774	80
10	7480	80

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

explain70.0ms (1.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
-	-	`#s(literal 1 binary64)`

Results

34.0ms

512×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 5.0ms (30.3% of total)

ival-exp: 4.0ms (24.2% of total)

ival-neg: 4.0ms (24.2% of total)

ival-sub: 3.0ms (18.2% of total)

const: 1.0ms (6.1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize97.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	-6272	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Rules

858×	`fmm-def`
681×	`exp-sum`
337×	`exp-diff`
331×	`fma-define`
314×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	20	52
2	34	52
3	54	52
4	115	52
5	233	52
6	525	52
7	1083	52
8	3286	52
9	6707	52

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

16.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 2.0ms (29.3% of total)

ival-exp: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite255.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-expm1-u`
434×	`expm1-log1p-u`
415×	`add-exp-log`
399×	`add-log-exp`
381×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	102	44
2	1241	44

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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

simplify140.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-define`
660×	`distribute-lft-in`
601×	`distribute-rgt-in`
455×	`fmm-def`
285×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	366	4294973176
1	655	4294972988
2	1918	4294972747
3	7494	4294972745

Stop Event

1×	node limit

Counts

186 → 214

Calls

Call 1

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

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

eval130.0ms (3.1%)

Compiler: Compiled 2824 to 648 computations (77.1% saved)

prune29.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	212	3	215

Accuracy

100.0%

Counts

215 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	54.9%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize47.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(exp.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))

Rules

3×	`1-exp`
2×	`exp-sum`
2×	`+-commutative`
1×	`exp-1-e`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	23	75
2	25	75

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

30.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-pow: 8.0ms (45.6% of total)

ival-exp: 6.0ms (34.2% of total)

ival-add: 3.0ms (17.1% of total)

const: 1.0ms (5.7% of total)

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

series4.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite166.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`unpow-prod-down`
707×	`log1p-expm1-u`
707×	`expm1-log1p-u`
338×	`log-prod`
255×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	160	58
2	2065	58

Stop Event

1×	node limit

Counts

5 → 303

Calls

Call 1

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

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

simplify194.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

610×	`exp-prod`
507×	`associate-r`
469×	`associate-l`
387×	`cube-prod`
340×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	772	9961
1	1497	9071
2	5077	8781

Stop Event

1×	node limit

Counts

351 → 464

Calls

Call 1

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

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

eval66.0ms (1.6%)

Compiler: Compiled 7453 to 1570 computations (78.9% saved)

prune93.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	463	1	464
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	463	4	467

Accuracy

100.0%

Counts

467 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
▶	98.4%	(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	54.9%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 25 to 20 computations (20% saved)

localize36.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))

Rules

3×	`1-exp`
1×	`e-exp-1`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	13	36
2	18	36

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

23.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-pow: 9.0ms (66.6% of total)

ival-add: 2.0ms (14.8% of total)

ival-e: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 12

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x (log.f64 (E.f64))) (E.f64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (E.f64))) (/.f64 (log.f64 (E.f64)) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (E.f64))))) (/.f64 (log.f64 (E.f64)) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (E.f64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (E.f64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (E.f64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (E.f64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>

Calls

3 calls:

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

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`unpow-prod-down`
468×	`log1p-expm1-u`
468×	`expm1-log1p-u`
449×	`add-exp-log`
420×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	106	17
2	1309	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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

simplify110.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

983×	`fmm-def`
633×	`distribute-lft-in`
590×	`distribute-rgt-in`
471×	`associate-/l*`
273×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	1722
1	412	1558
2	1007	1513
3	3255	1491
4	7635	1491

Stop Event

1×	node limit

Counts

74 → 110

Calls

Call 1

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

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

eval25.0ms (0.6%)

Compiler: Compiled 2320 to 623 computations (73.1% saved)

prune23.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	192	5	197

Accuracy

100.0%

Counts

197 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
▶	55.3%	(pow.f64 (E.f64) x)
▶	55.3%	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
▶	54.9%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize57.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) x)
	cost-diff	0	(E.f64)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
✓	cost-diff	-6272	(/.f64 #s(literal 1 binary64) (E.f64))
	cost-diff	0	(E.f64)
	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(pow.f64 (E.f64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(E.f64)
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (E.f64))
	accuracy	100.0%	(E.f64)

Rules

3×	`1-exp`
1×	`rec-exp`
1×	`e-exp-1`
1×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	68
1	19	64
2	22	64

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))
#s(literal 1 binary64)
(E.f64)
(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(E.f64)
(pow.f64 (E.f64) x)
(E.f64)
x

Results

40.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-pow: 8.0ms (51% of total)

ival-div: 4.0ms (25.5% of total)

ival-add: 2.0ms (12.8% of total)

ival-e: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

4 → 25

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 x (E.f64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 x (E.f64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 x (E.f64)))>
#<alt (/.f64 x (E.f64))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt (/.f64 x (E.f64))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64)))))>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (log.f64 (E.f64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (log.f64 (E.f64)) (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (log.f64 (E.f64)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))))))))>

Calls

9 calls:

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

rewrite103.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`unpow-prod-down`
691×	`log1p-expm1-u`
691×	`expm1-log1p-u`
336×	`log-prod`
190×	`pow-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	157	41
2	2028	41

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

653×	`unswap-sqr`
368×	`exp-prod`
316×	`associate-l`
309×	`associate-r`
288×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	613	4294974214
1	1183	4294972708
2	3640	4294972624

Stop Event

1×	node limit

Counts

260 → 313

Calls

Call 1

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

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

eval54.0ms (1.3%)

Compiler: Compiled 4412 to 999 computations (77.4% saved)

prune56.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	403	3	406
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	404	7	411

Accuracy

100.0%

Counts

411 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	55.3%	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
	5.5%	(/.f64 x (E.f64))
✓	54.9%	(/.f64 #s(literal 1 binary64) (E.f64))
	36.8%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
	55.3%	(exp.f64 x)

Compiler

Compiled 101 to 62 computations (38.6% saved)

regimes18.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -32.4b remaining (-112.1%)

Threshold costs -32.4b (-112.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (E.f64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
54.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.01544313000319328	5.454956698527555

Results

8.0ms

128×

valid

Compiler

Compiled 84 to 73 computations (13.1% saved)

Precisions

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

ival-sub: 1.0ms (21.7% of total)

ival-exp: 1.0ms (21.7% of total)

ival-mult: 1.0ms (21.7% of total)

ival-neg: 1.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.01544313000319328	5.454956698527555

Results

8.0ms

128×

valid

Compiler

Compiled 156 to 121 computations (22.4% saved)

Precisions

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

ival-exp: 2.0ms (41.4% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
3×	`1-exp`
3×	`*-commutative`
1×	`*-lft-identity`
1×	`e-exp-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	149
1	48	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 x))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))

Outputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 x))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))

soundness1.1s (26.5%)

Rules

983×	`fmm-def`
949×	`exp-sum`
778×	`fmm-def`
735×	`unpow-prod-down`
691×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	102	44
2	1241	44
0	202	1722
1	412	1558
2	1007	1513
3	3255	1491
4	7635	1491
0	772	9961
1	1497	9071
2	5077	8781
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	752	80
7	1169	80
8	2058	80
9	3774	80
10	7480	80
0	613	4294974214
1	1183	4294972708
2	3640	4294972624
0	11	49
1	157	41
2	2028	41

Stop Event

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

Compiler

Compiled 445 to 180 computations (59.6% saved)

preprocess39.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 162 to 100 computations (38.3% saved)

analyze0.0ms (0%)

sample905.0ms (21.5%)

preprocess132.0ms (3.1%)

explain70.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize97.0ms (2.3%)

series3.0ms (0.1%)

rewrite255.0ms (6.1%)

simplify140.0ms (3.3%)

eval130.0ms (3.1%)

prune29.0ms (0.7%)

localize47.0ms (1.1%)

series4.0ms (0.1%)

rewrite166.0ms (3.9%)

simplify194.0ms (4.6%)

eval66.0ms (1.6%)

prune93.0ms (2.2%)

localize36.0ms (0.9%)

series2.0ms (0%)

rewrite71.0ms (1.7%)

simplify110.0ms (2.6%)

eval25.0ms (0.6%)

prune23.0ms (0.5%)

localize57.0ms (1.4%)

series2.0ms (0.1%)

rewrite103.0ms (2.4%)

simplify119.0ms (2.8%)

eval54.0ms (1.3%)

prune56.0ms (1.3%)

regimes18.0ms (0.4%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

bsearch13.0ms (0.3%)

bsearch13.0ms (0.3%)

simplify3.0ms (0.1%)

soundness1.1s (26.5%)

preprocess39.0ms (0.9%)

end0.0ms (0%)

Profiling