Metrics for NMSE Section 6.1 mentioned, A

analyze106.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.7%	92.5%	6.2%	0.1%	0%	0%	1.2%	9
93.7%	92.5%	6.2%	0.1%	0%	0%	1.2%	10
96.8%	94.9%	3.1%	0.1%	0%	0%	1.9%	11
96.8%	94.9%	3.1%	0.1%	0%	0%	1.9%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 63.0ms (75.3% of total)

ival-mult: 9.0ms (10.8% of total)

ival-sub: 3.0ms (3.6% of total)

ival-add: 3.0ms (3.6% of total)

ival-exp: 3.0ms (3.6% of total)

ival-neg: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

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

sample3.5s (27.7%)

Results

982.0ms	5978×	0	valid
672.0ms	1469×	1	valid
163.0ms	1003×	0	unsamplable
762.0ms	809×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-div: 454.0ms (22.4% of total)

ival-exp: 398.0ms (19.7% of total)

ival-mult: 393.0ms (19.4% of total)

ival-sub: 237.0ms (11.7% of total)

backward-pass: 175.0ms (8.6% of total)

ival-neg: 162.0ms (8% of total)

ival-add: 158.0ms (7.8% of total)

const: 48.0ms (2.4% of total)

Bogosity

preprocess140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

788×	`div-sub`
516×	`fma-define`
441×	`distribute-lft-neg-in`
399×	`distribute-rgt-neg-in`
365×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	777
1	211	693
2	630	658
3	2123	658
4	5703	658

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (neg.f64 x))))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (neg.f64 x))))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 x)))) (.f64 (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal -2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 eps)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) x)) eps)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 eps) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (exp.f64 (fma.f64 eps x eps)))) #s(literal 2 binary64))

Symmetry

(abs eps)

explain808.0ms (6.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	4	(-4.46527722871141e-283 1.0865421948722529e-14)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
0	0	-	-	`x`
0	1	(-252.92649139628034 1.0326285825819701e-200)	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	1	(-252.92649139628034 1.0326285825819701e-200)	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Results

217.0ms	364×	0	valid
180.0ms	90×	1	valid
146.0ms	58×	2	valid

Compiler

Compiled 319 to 239 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 460.0ms

ival-mult: 101.0ms (22% of total)

ival-exp: 94.0ms (20.4% of total)

ival-div: 73.0ms (15.9% of total)

ival-sub: 63.0ms (13.7% of total)

ival-add: 41.0ms (8.9% of total)

backward-pass: 40.0ms (8.7% of total)

ival-neg: 36.0ms (7.8% of total)

const: 12.0ms (2.6% of total)

eval1.0ms (0%)

Compiler: Compiled 108 to 77 computations (28.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
▶	60.5%	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
▶	72.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

64.8%

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

▶

60.5%

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

▶

72.7%

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

Compiler

Compiled 87 to 67 computations (23% saved)

localize2.5s (19.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
✓	cost-diff	64	(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
✓	cost-diff	64	(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
✓	cost-diff	128	(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
✓	accuracy	99.6%	(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
✓	accuracy	72.8%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
✓	accuracy	72.8%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
✓	accuracy	72.7%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))

Rules

646×	`fma-define`
378×	`fma-neg`
324×	`distribute-lft-out`
298×	`distribute-lft-neg-in`
295×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1327
1	100	1315
2	223	1291
3	643	1198
4	1694	1198
5	5456	1198

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(exp.f64 x)
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(exp.f64 (fma.f64 eps x x))
(fma.f64 eps x x)
#s(literal 2 binary64)

Results

1.7s	107×	5	exit
122.0ms	74×	0	valid
159.0ms	44×	1	valid
254.0ms	31×	2	valid

Compiler

Compiled 353 to 229 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-pow: 950.0ms (48.3% of total)

backward-pass: 315.0ms (16% of total)

ival-exp: 186.0ms (9.5% of total)

ival-div: 180.0ms (9.1% of total)

ival-add: 135.0ms (6.9% of total)

ival-mult: 117.0ms (5.9% of total)

ival-fma: 41.0ms (2.1% of total)

const: 21.0ms (1.1% of total)

ival-sub: 19.0ms (1% of total)

ival-neg: 4.0ms (0.2% of total)

series159.0ms (1.2%)

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))))) eps))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))))) eps))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps))))))) eps))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (-.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps)))>

Calls

42 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(+ (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1))) (/ (+ 1 (/ -1 eps)) (exp (+ (* eps x) x))))
31.0ms	eps	@	-inf	(pow (exp (+ 1 eps)) (neg x))
18.0ms	x	@	-inf	(+ (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1))) (/ (+ 1 (/ -1 eps)) (exp (+ (* eps x) x))))
17.0ms	eps	@	inf	(pow (exp (+ 1 eps)) (neg x))
8.0ms	eps	@	inf	(+ (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))) (* (pow (exp (+ 1 eps)) (neg x)) (+ 1 (/ -1 eps))))

rewrite232.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`add-exp-log`
312×	`add-log-exp`
311×	`log1p-expm1-u`
311×	`expm1-log1p-u`
307×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	403
1	699	365

Stop Event

1×	node limit

Counts

7 → 185

Calls

Call 1

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

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

simplify261.0ms (2%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-define`
476×	`associate-r`
379×	`distribute-lft-in`
371×	`distribute-rgt-in`
322×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	889	31665
1	2656	27238

Stop Event

1×	node limit

Counts

353 → 441

Calls

Call 1

Inputs
(-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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(log.f64 (exp.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps))) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -3 binary64))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps)) (.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps)))
(pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))))
(exp.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))))
(exp.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) eps))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) #s(literal 1 binary64)))

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

eval197.0ms (1.5%)

Compiler: Compiled 19002 to 13269 computations (30.2% saved)

prune77.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	435	6	441
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	438	6	444

Accuracy

100.0%

Counts

444 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
	57.6%	(/.f64 (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
▶	57.6%	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
▶	98.5%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
▶	43.9%	(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
▶	16.1%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 196 to 154 computations (21.4% saved)

localize440.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	512	(+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x))))
✓	cost-diff	704	(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
✓	cost-diff	7040	(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
✓	accuracy	99.9%	(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))

Rules

762×	`div-sub`
555×	`fma-define`
422×	`associate-*r/`
401×	`fma-neg`
309×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	767
1	86	730
2	223	604
3	563	579
4	1903	579
5	5108	579

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
(+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x)))))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 x (*.f64 eps x)))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
#s(literal 2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps)
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
eps
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 0 binary64)
(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (+.f64 x (*.f64 eps x)))
(exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))
(exp.f64 (fma.f64 x eps x))
(+.f64 x (*.f64 eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
#s(literal 2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) eps))
(.f64 eps (/.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 eps #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps)
(/.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) eps)
(.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 eps (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x)))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(.f64 eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 eps (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x)))
eps
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) eps)
(.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) eps))
(.f64 eps (/.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 eps #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x))))
(/.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) eps)
(.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 x #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
#s(literal 2 binary64)

Results

133.0ms	204×	0	valid
31.0ms	52×	0	unsamplable

Compiler

Compiled 229 to 122 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 40.0ms (35.5% of total)

ival-add: 27.0ms (24% of total)

ival-div: 16.0ms (14.2% of total)

ival-sub: 14.0ms (12.4% of total)

ival-exp: 9.0ms (8% of total)

const: 6.0ms (5.3% of total)

ival-neg: 1.0ms (0.9% of total)

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

series17.0ms (0.1%)

Counts

7 → 92

Calls

Call 1

Inputs
#<alt (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))>
#<alt (*.f64 x (exp.f64 (neg.f64 x)))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))>
#<alt (/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))>
#<alt (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x))))>

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (neg.f64 x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) eps))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) eps))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps x) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1 binary64))))>
#<alt (*.f64 x (exp.f64 (neg.f64 x)))>
#<alt (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (exp.f64 (neg.f64 x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (exp.f64 (neg.f64 x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (neg.f64 x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(/ (/ (+ (* eps (* (exp (neg x)) (+ 2 (* 2 x)))) 0) eps) 2)
1.0ms	x	@	-inf	(* x (exp (neg x)))
1.0ms	x	@	inf	(* (exp (neg x)) (+ 2 (* 2 x)))
1.0ms	eps	@	0	(/ 1 (exp (+ x (* eps x))))
0.0ms	x	@	0	(* (exp (neg x)) (+ 2 (* 2 x)))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

238×	`log1p-expm1-u`
238×	`expm1-log1p-u`
233×	`add-exp-log`
233×	`add-log-exp`
232×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	269
1	544	206

Stop Event

1×	node limit

Counts

7 → 221

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x))))

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

simplify217.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-neg`
370×	`associate-r`
366×	`associate-l`
333×	`distribute-lft-in`
314×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	632	12666
1	1636	10560
2	6472	10535

Stop Event

1×	node limit

Counts

313 → 364

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 #s(literal 2 binary64) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) (.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps x) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1 binary64))))
(*.f64 x (exp.f64 (neg.f64 x)))
(.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 x (+.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
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(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64))
(.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps))))
(.f64 eps (/.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) eps)))
(.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) eps)))
(.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps)) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))
(.f64 (.f64 (exp.f64 x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps)) (/.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 (*.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps)))) (pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) (.f64 #s(literal 2 binary64) eps)))
(.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) (.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) (/.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps)))) (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) (/.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) (.f64 #s(literal 2 binary64) eps)))
(.f64 (/.f64 (.f64 (exp.f64 x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps)) (neg.f64 eps)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps)))
(.f64 (.f64 (exp.f64 x) eps) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) eps)))
(.f64 (/.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 eps eps))
(.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) eps))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 (exp.f64 x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) eps))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))) eps))
(.f64 (/.f64 (.f64 (exp.f64 x) eps) #s(literal 2 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) eps))
(pow.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 eps eps) (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))))
(exp.f64 (log.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (*.f64 #s(literal 2 binary64) eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (exp.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 eps (.f64 #s(literal 2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) (.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 x (exp.f64 x)) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 x) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 (exp.f64 x) (-.f64 (+.f64 x #s(literal 2 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (-.f64 (.f64 x (exp.f64 x)) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (-.f64 (.f64 x (exp.f64 x)) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (exp.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (pow.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (-.f64 (.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (-.f64 (.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x (exp.f64 x)) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (exp.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 x) (+.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) x (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)) (*.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 x (exp.f64 x)) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) (.f64 x (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))) (neg.f64 (.f64 x (exp.f64 x))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 x) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (exp.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (.f64 x (exp.f64 x))) (sqrt.f64 (.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))

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

eval98.0ms (0.8%)

Compiler: Compiled 7522 to 4661 computations (38% saved)

prune67.0ms (0.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	356	8	364
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	359	11	370

Accuracy

100.0%

Counts

370 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
	64.4%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶	85.4%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
▶	90.2%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	63.8%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	43.9%	(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
✓	16.1%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
▶	43.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
	51.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
▶	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))

Compiler

Compiled 257 to 208 computations (19.1% saved)

localize438.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(-.f64 eps #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 eps #s(literal 1 binary64)))
✓	cost-diff	320	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
	accuracy	99.9%	(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x)))

Rules

515×	`associate-r`
510×	`fma-neg`
493×	`distribute-lft-neg-out`
368×	`fma-define`
346×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	771
1	92	727
2	215	719
3	440	711
4	965	703
5	2681	695
6	5113	695

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps))))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(exp.f64 (-.f64 x (*.f64 x eps)))
(-.f64 x (*.f64 x eps))
(*.f64 x eps)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) eps)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) x)) (exp.f64 x))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (fma.f64 eps (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (-.f64 x (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (fma.f64 eps (neg.f64 x) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
(exp.f64 (-.f64 x (*.f64 x eps)))
(exp.f64 (fma.f64 eps (neg.f64 x) x))
(pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))
(-.f64 x (*.f64 x eps))
(fma.f64 eps (neg.f64 x) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x eps)
#s(literal 2 binary64)

Results

243.0ms

256×

valid

Compiler

Compiled 224 to 136 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 53.0ms (32.3% of total)

ival-add: 39.0ms (23.8% of total)

ival-sub: 34.0ms (20.7% of total)

ival-pow: 15.0ms (9.2% of total)

ival-exp: 12.0ms (7.3% of total)

const: 6.0ms (3.7% of total)

ival-div: 4.0ms (2.4% of total)

ival-neg: 1.0ms (0.6% of total)

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

series10.0ms (0.1%)

Counts

7 → 69

Calls

Call 1

Inputs
#<alt (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)))>
#<alt #s(literal 1/3 binary64)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (exp.f64 (neg.f64 x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))>
#<alt (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt #s(literal -1 binary64)>
#<alt eps>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x (+ 1/3 (* -1/8 x)))
0.0ms	x	@	-inf	(* x (+ 1/3 (* -1/8 x)))
0.0ms	x	@	inf	(* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))
0.0ms	x	@	0	(* x (+ 1/3 (* -1/8 x)))
0.0ms	x	@	inf	(* x (- eps 1))

rewrite179.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff`
665×	`log1p-expm1-u`
194×	`associate-r`
179×	`expm1-log1p-u`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	163
1	406	139
2	5661	139

Stop Event

1×	node limit

Counts

7 → 180

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(-.f64 eps #s(literal 1 binary64))
(exp.f64 (neg.f64 x))

Outputs
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/24 binary64) x))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/24 binary64) x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/24 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64))) (+.f64 #s(literal 1/9 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/24 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (*.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (+.f64 x (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (+.f64 x (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 eps #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 eps #s(literal -1 binary64))) (sqrt.f64 (+.f64 eps #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (-.f64 (sqrt.f64 eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1 binary64)))))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))

simplify157.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

808×	`distribute-lft-in`
722×	`times-frac`
302×	`associate-l`
282×	`associate-r`
228×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	501	7160
1	1136	6723
2	3849	6234

Stop Event

1×	node limit

Counts

249 → 298

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) x)))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 eps x))
(*.f64 eps x)
(.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))
(.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))
(.f64 eps (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x eps))))
(*.f64 eps x)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))
#s(literal -1 binary64)
eps
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
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(cbrt.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))

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

eval143.0ms (1.1%)

Compiler: Compiled 8190 to 5684 computations (30.6% saved)

prune123.0ms (1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	468	13	481
Fresh	1	2	3
Picked	2	3	5
Done	1	2	3
Total	472	20	492

Accuracy

100.0%

Counts

492 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
▶	63.8%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
	64.4%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	63.8%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	84.7%	(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
	63.3%	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
	69.5%	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	16.4%	(/.f64 x (exp.f64 x))
✓	16.1%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
	60.6%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
✓	43.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
	51.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
✓	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	54.8%	(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
	16.4%	(*.f64 x (exp.f64 (neg.f64 x)))
	43.0%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
▶	43.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
	51.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
✓	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
▶	43.9%	#s(literal 1 binary64)

Compiler

Compiled 451 to 354 computations (21.5% saved)

localize298.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
✓	cost-diff	0	(-.f64 x (*.f64 x eps))
✓	cost-diff	0	(*.f64 x eps)
✓	accuracy	99.9%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) x)

Rules

533×	`distribute-lft-out`
525×	`fma-neg`
354×	`associate-+l-`
299×	`cancel-sign-sub-inv`
295×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	712
1	94	660
2	242	658
3	719	648
4	2774	640
5	3970	640

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (-.f64 x (.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (-.f64 x (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(exp.f64 (*.f64 x eps))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (-.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))
(-.f64 x (*.f64 x eps))
(*.f64 x (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(exp.f64 x)
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) x))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)

Results

166.0ms

256×

valid

Compiler

Compiled 206 to 126 computations (38.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 57.0ms (47.2% of total)

ival-add: 25.0ms (20.7% of total)

ival-sub: 20.0ms (16.6% of total)

ival-exp: 9.0ms (7.5% of total)

const: 6.0ms (5% of total)

ival-div: 4.0ms (3.3% of total)

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

series60.0ms (0.5%)

Counts

7 → 79

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) x))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) x))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))>

Calls

27 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	(* x eps)
1.0ms	x	@	inf	(* (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (+ 2 (* 2 x)))
0.0ms	x	@	inf	(* x (+ 1/2 (* -1/6 x)))
0.0ms	x	@	-inf	(* x (+ 1/2 (* -1/6 x)))
0.0ms	x	@	inf	(* x eps)

rewrite179.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`log1p-expm1-u`
659×	`expm1-log1p-u`
165×	`associate-r`
159×	`add-cube-cbrt`
158×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	179
1	350	156
2	5283	156

Stop Event

1×	node limit

Counts

7 → 164

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) x)))))
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(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64)))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (neg.f64 eps)) (.f64 x (neg.f64 eps))) (.f64 x (.f64 x (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 eps)) (.f64 x (neg.f64 eps)))) (-.f64 x (.f64 x (neg.f64 eps))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify144.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-neg`
428×	`cancel-sign-sub-inv`
325×	`distribute-lft-neg-in`
317×	`distribute-rgt-neg-in`
264×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	9253
1	1282	8836
2	4229	8691

Stop Event

1×	node limit

Counts

243 → 275

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) eps)))
x
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 eps x)))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(.f64 #s(literal -1 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 #s(literal -1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
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(pow.f64 (*.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x eps))))
(cbrt.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x eps)))
(log1p.f64 (expm1.f64 (*.f64 x eps)))
(exp.f64 (log.f64 (*.f64 x eps)))
(exp.f64 (.f64 (log.f64 (.f64 x eps)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (.f64 (.f64 x (neg.f64 eps)) #s(literal 1 binary64)))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (neg.f64 eps) x (.f64 x eps)))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x (neg.f64 eps)) #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (neg.f64 x) eps (.f64 x eps)))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 x eps)) #s(literal 2 binary64)) (.f64 x eps)))
(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x eps))) (sqrt.f64 (.f64 x eps)) (.f64 x eps)))
(+.f64 (*.f64 x (neg.f64 eps)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x eps) #s(literal 2 binary64)))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (neg.f64 eps)) (.f64 x (neg.f64 eps))) (.f64 x (.f64 x (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 eps)) (.f64 x (neg.f64 eps)))) (-.f64 x (.f64 x (neg.f64 eps))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2/3 binary64)) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) #s(literal 2/3 binary64)) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) x) #s(literal -2/3 binary64)) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
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eval97.0ms (0.8%)

Compiler: Compiled 7307 to 5404 computations (26% saved)

prune71.0ms (0.6%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	1	9	10
Picked	1	4	5
Done	0	5	5
Total	291	19	310

Accuracy

100.0%

Counts

310 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
✓	63.8%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
	64.4%	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	63.8%	(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	85.5%	(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
	69.5%	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	16.4%	(/.f64 x (exp.f64 x))
✓	16.1%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
	60.6%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
✓	43.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
	51.3%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
✓	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	54.8%	(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
	16.4%	(*.f64 x (exp.f64 (neg.f64 x)))
	43.0%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
✓	43.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
	51.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
✓	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
✓	43.9%	#s(literal 1 binary64)

Compiler

Compiled 687 to 503 computations (26.8% saved)

regimes28.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))

Calls

4 calls:

10.0ms	x
10.0ms	eps
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`
98.5%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
98.5%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes28.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64))

Outputs

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

(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
99.3%	2	`x`
100.0%	2	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (*.f64 x eps)))) #s(literal 2 binary64))

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

(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Calls

2 calls:

27.0ms	eps
17.0ms	x

Results

Accuracy	Segments	Branch
87.0%	3	`x`
83.8%	4	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) #s(literal 0 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs

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

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

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

Calls

2 calls:

21.0ms	x
12.0ms	eps

Results

Accuracy	Segments	Branch
81.3%	3	`eps`
79.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

1 calls:

11.0ms

eps

Results

Accuracy	Segments	Branch
79.0%	2	`eps`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

1 calls:

10.0ms

eps

Results

Accuracy	Segments	Branch
78.8%	2	`eps`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Calls

2 calls:

26.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
66.7%	2	`x`
65.5%	3	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))

Outputs
(*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Calls

2 calls:

10.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
56.7%	3	`eps`
57.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))

Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
57.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

0.0ms	eps
0.0ms	x

Results

Accuracy	Segments	Branch
43.9%	1	`eps`
43.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.575239448567489e-11	1.4036996201395225e-6

Results

26.0ms	128×	0	valid
2.0ms	16×	0	unsamplable

Compiler

Compiled 268 to 213 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 12.0ms (52.4% of total)

ival-mult: 4.0ms (17.5% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

ival-exp: 2.0ms (8.7% of total)

const: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
28.0ms	1.716402351669809e+76	2.4242900279012716e+85
5.0ms	-3.629660046052862e-247	-3.2275510440799207e-257

Results

20.0ms	153×	0	valid
2.0ms	5×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 235 to 204 computations (13.2% saved)

Precisions

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

ival-div: 4.0ms (23.4% of total)

ival-mult: 4.0ms (23.4% of total)

ival-exp: 2.0ms (11.7% of total)

ival-sub: 2.0ms (11.7% of total)

ival-neg: 2.0ms (11.7% of total)

ival-add: 2.0ms (11.7% of total)

const: 1.0ms (5.9% of total)

backward-pass: 1.0ms (5.9% of total)

bsearch54.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.7317758890179274e+226	7.379309478104992e+227
30.0ms	0.01226466026481648	298483.5605221711

Results

38.0ms	240×	0	valid
1.0ms	4×	0	unsamplable

Compiler

Compiled 507 to 413 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 8.0ms (26.7% of total)

ival-mult: 7.0ms (23.3% of total)

ival-div: 5.0ms (16.7% of total)

ival-sub: 3.0ms (10% of total)

ival-exp: 3.0ms (10% of total)

ival-neg: 2.0ms (6.7% of total)

const: 1.0ms (3.3% of total)

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

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.01226466026481648	298483.5605221711

Results

23.0ms	144×	0	valid
1.0ms	8×	0	unsamplable

Compiler

Compiled 297 to 245 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 6.0ms (32% of total)

ival-mult: 4.0ms (21.3% of total)

ival-div: 3.0ms (16% of total)

ival-sub: 2.0ms (10.7% of total)

ival-exp: 2.0ms (10.7% of total)

const: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.01226466026481648	298483.5605221711

Results

19.0ms	144×	0	valid
1.0ms	5×	0	unsamplable

Compiler

Compiled 279 to 236 computations (15.4% saved)

Precisions

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

ival-mult: 4.0ms (27.9% of total)

ival-div: 3.0ms (20.9% of total)

ival-sub: 2.0ms (13.9% of total)

ival-exp: 2.0ms (13.9% of total)

ival-add: 1.0ms (7% of total)

const: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

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

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.716402351669809e+76	2.4242900279012716e+85

Results

19.0ms

144×

valid

Compiler

Compiled 207 to 182 computations (12.1% saved)

Precisions

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

ival-div: 3.0ms (21.7% of total)

ival-mult: 3.0ms (21.7% of total)

ival-sub: 2.0ms (14.5% of total)

ival-exp: 2.0ms (14.5% of total)

ival-add: 1.0ms (7.2% of total)

const: 1.0ms (7.2% of total)

ival-neg: 1.0ms (7.2% of total)

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

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	1.716402351669809e+76	2.4242900279012716e+85

Results

12.0ms

80×

valid

Compiler

Compiled 111 to 94 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (32.4% of total)

ival-mult: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

ival-exp: 1.0ms (10.8% of total)

ival-neg: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	716152059654.3221	1775161038393.4902

Results

13.0ms

80×

valid

Compiler

Compiled 86 to 79 computations (8.1% saved)

Precisions

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

ival-sub: 4.0ms (37.5% of total)

ival-div: 2.0ms (18.8% of total)

ival-mult: 2.0ms (18.8% of total)

ival-add: 1.0ms (9.4% of total)

ival-exp: 1.0ms (9.4% of total)

ival-neg: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`unsub-neg`
21×	`+-commutative`
16×	`*-commutative`
16×	`neg-mul-1`
9×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	725
1	119	721
2	138	721
3	156	721
4	183	721
5	225	721
6	227	721

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
(if (<=.f64 eps #s(literal 6611313076017503/4722366482869645213696 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -3148880786512287/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 x (.f64 x eps)))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (if (<=.f64 eps #s(literal 719999999999999982677924243082727233905212759682306903103413149343066930217686526324498947952142336490525932589308750992052526493676267182669826615448225288533616206805807584106951844049014673460053101468089593696446151607189504 binary64)) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 23999999999999998558342357087346829272603695633019749798744112831287262393139200 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 999999999999999921281879895665782741935503249059183851809998224123064148429897728 binary64)) (*.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 720000000000 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (.f64 x eps))))) #s(literal 2 binary64))
(if (<=.f64 eps #s(literal 6611313076017503/4722366482869645213696 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
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(if (<=.f64 x #s(literal 720000000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 1 binary64)

soundness1.3s (10.3%)

Rules

839×	`fma-define`
808×	`distribute-lft-in`
788×	`div-sub`
722×	`times-frac`
676×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	889	31665
1	2656	27238
0	27	163
1	406	139
2	5661	139
0	489	9253
1	1282	8836
2	4229	8691
0	501	7160
1	1136	6723
2	3849	6234
0	69	777
1	211	693
2	630	658
3	2123	658
4	5703	658
0	632	12666
1	1636	10560
2	6472	10535
0	31	269
1	544	206

Stop Event

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

Compiler

Compiled 1304 to 857 computations (34.3% saved)

preprocess81.0ms (0.6%)

Compiler: Compiled 654 to 482 computations (26.3% saved)

analyze106.0ms (0.8%)

sample3.5s (27.7%)

preprocess140.0ms (1.1%)

explain808.0ms (6.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize2.5s (19.9%)

series159.0ms (1.2%)

rewrite232.0ms (1.8%)

simplify261.0ms (2%)

eval197.0ms (1.5%)

prune77.0ms (0.6%)

localize440.0ms (3.4%)

series17.0ms (0.1%)

rewrite88.0ms (0.7%)

simplify217.0ms (1.7%)

eval98.0ms (0.8%)

prune67.0ms (0.5%)

localize438.0ms (3.4%)

series10.0ms (0.1%)

rewrite179.0ms (1.4%)

simplify157.0ms (1.2%)

eval143.0ms (1.1%)

prune123.0ms (1%)

localize298.0ms (2.3%)

series60.0ms (0.5%)

rewrite179.0ms (1.4%)

simplify144.0ms (1.1%)

eval97.0ms (0.8%)

prune71.0ms (0.6%)

regimes28.0ms (0.2%)

regimes28.0ms (0.2%)

regimes46.0ms (0.4%)

regimes35.0ms (0.3%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes33.0ms (0.3%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes1.0ms (0%)

bsearch37.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch54.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch30.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch18.0ms (0.1%)

simplify16.0ms (0.1%)

soundness1.3s (10.3%)

preprocess81.0ms (0.6%)

end0.0ms (0%)

Profiling