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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.3s (47.4%)

Results

667.0ms	4207×	256	valid
538.0ms	4048×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

Operation ival-exp, time spent: 213.0ms, 41.0% of total-time

Operation ival-mult, time spent: 184.0ms, 36.0% of total-time

Operation ival-sub, time spent: 56.0ms, 11.0% of total-time

Operation ival-neg, time spent: 51.0ms, 10.0% of total-time

Operation const, time spent: 13.0ms, 3.0% of total-time

Bogosity

preprocess284.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

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

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)`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-sub, time spent: 9.0ms, 35.0% of total-time

Operation ival-exp, time spent: 5.0ms, 19.0% of total-time

Operation ival-mult, time spent: 5.0ms, 19.0% of total-time

Operation ival-neg, time spent: 5.0ms, 19.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize63.0ms (2.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 29 to 15 computations (48.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-add, time spent: 13.0ms, 38.0% of total-time

Operation composed, time spent: 8.0ms, 24.0% of total-time

Operation ival-mult, time spent: 6.0ms, 18.0% of total-time

Operation ival-exp, time spent: 5.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite209.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log1p-expm1-u`
436×	`expm1-log1p-u`
415×	`add-exp-log`
400×	`add-log-exp`
383×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	112	53
2	1250	53

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

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

simplify267.0ms (10%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-define`
365×	`distribute-lft-in`
358×	`distribute-rgt-in`
353×	`exp-prod`
329×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	321	7991
1	575	7740
2	1640	7369
3	5817	7365

Stop Event

1×	node limit

Counts

224 → 179

Calls

Call 1

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

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

eval59.0ms (2.2%)

Compiler: Compiled 2407 to 1841 computations (23.5% saved)

prune21.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	178	3	181

Accuracy

100.0%

Counts

181 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	54.3%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

localize20.0ms (0.7%)

Compiler: Compiled 5 to 5 computations (0% saved)
Precisions: Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-exp, time spent: 4.0ms, 98.0% of total-time
Operation const, time spent: 1.0ms, 24.0% of total-time

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	54.3%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(*.f64 x x)
2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(exp.f64 #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))))

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

Calls

5 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
54.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	15	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness422.0ms (15.8%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 134 to 75 computations (44% saved)

end0.0ms (0%)

preprocess33.0ms (1.2%)

Remove: (abs x)
Compiler: Compiled 92 to 64 computations (30.4% saved)

analyze0.0ms (0%)

sample1.3s (47.4%)

preprocess284.0ms (10.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize63.0ms (2.4%)

series3.0ms (0.1%)

rewrite209.0ms (7.8%)

simplify267.0ms (10%)

eval59.0ms (2.2%)

prune21.0ms (0.8%)

localize20.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness422.0ms (15.8%)

end0.0ms (0%)

preprocess33.0ms (1.2%)

Profiling