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)

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

sample880.0ms (40.6%)

Results

657.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-mult: 188.0ms (50.2% of total)

ival-exp: 77.0ms (20.6% of total)

ival-sub: 54.0ms (14.4% of total)

ival-neg: 42.0ms (11.2% of total)

const: 10.0ms (2.7% of total)

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

Bogosity

preprocess129.0ms (5.9%)

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)

explain77.0ms (3.5%)

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

47.0ms

512×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 8.0ms (32.8% of total)

ival-mult: 6.0ms (24.6% of total)

ival-neg: 5.0ms (20.5% of total)

ival-exp: 4.0ms (16.4% of total)

const: 1.0ms (4.1% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize49.0ms (2.3%)

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)))

Results

38.0ms

256×

valid

Compiler

Compiled 29 to 15 computations (48.3% saved)

Precisions

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

ival-fma: 15.0ms (56.2% of total)

ival-add: 5.0ms (18.7% of total)

ival-exp: 4.0ms (15% of total)

ival-mult: 2.0ms (7.5% of total)

const: 1.0ms (3.7% of total)

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

series4.0ms (0.2%)

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	@	0	(exp (+ (* x x) -1))

rewrite325.0ms (15%)

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)))))

simplify149.0ms (6.9%)

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

eval41.0ms (1.9%)

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

prune21.0ms (1%)

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)

localize30.0ms (1.4%)

Results

18.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 3.0ms (98.3% of total)

const: 0.0ms (0% of total)

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

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)

regimes8.0ms (0.4%)

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	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)

regimes5.0ms (0.3%)

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:

1.0ms	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:

0.0ms

Results

Accuracy	Segments	Branch
54.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (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×

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))

soundness416.0ms (19.2%)

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×	done
1×	node limit

Compiler

Compiled 135 to 77 computations (43% saved)

preprocess28.0ms (1.3%)

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

exp neg sub

analyze0.0ms (0%)

sample880.0ms (40.6%)

preprocess129.0ms (5.9%)

explain77.0ms (3.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize49.0ms (2.3%)

series4.0ms (0.2%)

rewrite325.0ms (15%)

simplify149.0ms (6.9%)

eval41.0ms (1.9%)

prune21.0ms (1%)

localize30.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes5.0ms (0.3%)

regimes1.0ms (0%)

simplify2.0ms (0.1%)

soundness416.0ms (19.2%)

preprocess28.0ms (1.3%)

end0.0ms (0%)

Profiling