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)

sample931.0ms (21.4%)

Results

752.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-mult: 151.0ms (41% of total)

ival-exp: 108.0ms (29.3% of total)

ival-neg: 49.0ms (13.3% of total)

ival-sub: 48.0ms (13% of total)

const: 10.0ms (2.7% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess138.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

949×	`exp-sum`
778×	`fma-neg`
470×	`fma-define`
411×	`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	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	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)

explain230.0ms (5.3%)

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

205.0ms

512×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-exp: 115.0ms (60.9% of total)

ival-mult: 67.0ms (35.5% of total)

ival-sub: 3.0ms (1.6% of total)

ival-neg: 3.0ms (1.6% of total)

const: 1.0ms (0.5% of total)

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

eval0.0ms (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)

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 3 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)

Rules

862×	`fma-neg`
683×	`exp-sum`
363×	`unsub-neg`
337×	`exp-diff`
331×	`fma-define`

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	526	52
7	1082	52
8	3280	52
9	6690	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)

localize26.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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)))

Results

19.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-mult: 3.0ms (43.8% of total)

ival-exp: 2.0ms (29.2% of total)

ival-add: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<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 #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
1.0ms	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)

rewrite213.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-expm1-u`
434×	`expm1-log1p-u`
417×	`add-exp-log`
400×	`add-log-exp`
382×	`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
(*.f64 x x)
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

Outputs
(+.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 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #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))

simplify153.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-define`
656×	`distribute-lft-in`
595×	`distribute-rgt-in`
431×	`prod-exp`
430×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	366	4294973176
1	655	4294972988
2	1909	4294972747
3	7457	4294972745

Stop Event

1×	node limit

Counts

186 → 202

Calls

Call 1

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

eval26.0ms (0.6%)

Compiler: Compiled 2626 to 609 computations (76.8% saved)

prune32.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	3	203

Accuracy

100.0%

Counts

203 → 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)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

localize40.0ms (0.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	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))

Results

30.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-pow: 8.0ms (47.8% of total)

ival-exp: 5.0ms (29.9% of total)

ival-add: 3.0ms (17.9% of total)

const: 1.0ms (6% of total)

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

series8.0ms (0.2%)

Counts

5 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite125.0ms (2.9%)

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

simplify177.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

611×	`exp-prod`
507×	`associate-r`
472×	`associate-l`
387×	`cube-prod`
340×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	772	9961
1	1498	9071
2	5076	8781

Stop Event

1×	node limit

Counts

351 → 438

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 (+.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)))))
(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)))
#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)))
#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))))
(+.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 (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))
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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 (-.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))

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

eval218.0ms (5%)

Compiler: Compiled 6936 to 1436 computations (79.3% saved)

prune52.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	437	1	438
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	437	4	441

Accuracy

100.0%

Counts

441 → 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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
	cost-diff	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	(E.f64)
✓	cost-diff	(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)

localize30.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
	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)))

Results

22.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 8.0ms (59.6% of total)

ival-add: 3.0ms (22.3% of total)

ival-e: 2.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

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))

rewrite75.0ms (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))

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

983×	`fma-neg`
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)))
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eval62.0ms (1.4%)

Compiler: Compiled 2295 to 614 computations (73.2% saved)

prune24.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	189	5	194

Accuracy

100.0%

Counts

194 → 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%	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
▶	98.4%	(/.f64 (exp.f64 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 31 to 25 computations (19.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	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	0	(E.f64)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (E.f64))
✓	cost-diff	-6272	(/.f64 #s(literal 1 binary64) (E.f64))
	cost-diff	0	(E.f64)

Rules

3×	`1-exp`
2×	`*-rgt-identity`
2×	`associate-r`
2×	`exp-sum`
2×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	20	74
2	25	74
3	26	74
4	28	74
5	31	74
6	33	74
7	40	74
8	40	74

Stop Event

1×

saturated

Calls

Call 1

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

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

localize57.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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%	(exp.f64 x)
	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (E.f64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (E.f64))
	accuracy	100.0%	(E.f64)

Results

45.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 5.0ms (45.7% of total)

ival-exp: 2.0ms (18.3% of total)

ival-e: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

5 → 29

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (/.f64 (exp.f64 x) (E.f64))>
#<alt (exp.f64 x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))>
#<alt (+.f64 #s(literal 1 binary64) 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 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<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)))>

Calls

12 calls:

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

rewrite109.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log1p-expm1-u`
814×	`expm1-log1p-u`
409×	`log-prod`
195×	`pow-pow`
137×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	173	55
2	2323	55

Stop Event

1×	node limit

Counts

5 → 199

Calls

Call 1

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

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

731×	`times-frac`
464×	`distribute-lft-in`
296×	`prod-exp`
268×	`exp-prod`
226×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	4294971926
1	853	4294971324
2	2787	4294971303

Stop Event

1×	node limit

Counts

228 → 249

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

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

eval113.0ms (2.6%)

Compiler: Compiled 3078 to 777 computations (74.8% saved)

prune44.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	338	4	342
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	338	9	347

Accuracy

100.0%

Counts

347 → 9

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)))
	85.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
	79.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
✓	55.3%	(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
✓	98.4%	(/.f64 (exp.f64 x) (E.f64))
	5.5%	(/.f64 x (E.f64))
✓	54.9%	(/.f64 #s(literal 1 binary64) (E.f64))
	85.5%	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 180 to 106 computations (41.1% saved)

regimes21.0ms (0.5%)

Counts

12 → 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 #s(literal -1 binary64))
(/.f64 (exp.f64 x) (E.f64))
(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:

5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
4.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(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)

regimes4.0ms (0.1%)

Counts

9 → 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 #s(literal -1 binary64))
(/.f64 (exp.f64 x) (E.f64))
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 #s(literal -1 binary64))
(/.f64 (exp.f64 x) (E.f64))

Outputs
(/.f64 (exp.f64 x) (E.f64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

7 → 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 #s(literal -1 binary64))

Outputs

(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

5 → 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

4 → 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
9×	`*-commutative`
3×	`1-exp`
1×	`e-exp-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	261
1	67	261

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)))
(/.f64 (exp.f64 x) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.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)))
(/.f64 (exp.f64 x) (E.f64))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (E.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (E.f64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (E.f64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (E.f64))
(/.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))

soundness1.0s (24%)

Rules

983×	`fma-neg`
949×	`exp-sum`
778×	`fma-neg`
731×	`times-frac`
633×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	772	9961
1	1498	9071
2	5076	8781
0	202	1722
1	412	1558
2	1007	1513
3	3255	1491
4	7635	1491
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	80
0	453	4294971926
1	853	4294971324
2	2787	4294971303
0	9	21
1	106	17
2	1309	17
0	10	44
1	102	44
2	1241	44

Stop Event

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

Compiler

Compiled 423 to 180 computations (57.4% saved)

preprocess53.0ms (1.2%)

Remove: (abs x)
Compiler: Compiled 232 to 134 computations (42.2% saved)

analyze0.0ms (0%)

sample931.0ms (21.4%)

preprocess138.0ms (3.2%)

explain230.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify83.0ms (1.9%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

rewrite213.0ms (4.9%)

simplify153.0ms (3.5%)

eval26.0ms (0.6%)

prune32.0ms (0.7%)

simplify7.0ms (0.2%)

localize40.0ms (0.9%)

series8.0ms (0.2%)

rewrite125.0ms (2.9%)

simplify177.0ms (4.1%)

eval218.0ms (5%)

prune52.0ms (1.2%)

simplify6.0ms (0.1%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

rewrite75.0ms (1.7%)

simplify114.0ms (2.6%)

eval62.0ms (1.4%)

prune24.0ms (0.5%)

simplify10.0ms (0.2%)

localize57.0ms (1.3%)

series6.0ms (0.1%)

rewrite109.0ms (2.5%)

simplify95.0ms (2.2%)

eval113.0ms (2.6%)

prune44.0ms (1%)

regimes21.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify3.0ms (0.1%)

soundness1.0s (24%)

preprocess53.0ms (1.2%)

end0.0ms (0%)

Profiling