Metrics for sqrtexp (problem 3.4.4)

analyze125.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
53.1%	53.1%	46.9%	0%	0%	0%	0%	6
54.7%	54.7%	45.3%	0%	0%	0%	0%	7
55.5%	55.4%	44.5%	0%	0%	0%	0%	8
55.9%	55.8%	44.1%	0%	0%	0%	0%	9
56.1%	56%	43.9%	0%	0%	0%	0%	10
56.2%	56.1%	43.8%	0%	0%	0%	0%	11
56.2%	56.2%	43.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.5s (61.8%)

Results

1.1s	2658×	body	1024	valid
473.0ms	3858×	body	256	valid
411.0ms	1378×	body	512	valid
258.0ms	302×	body	2048	valid
198.0ms	2617×	body	256	unsamplable
7.0ms	60×	body	256	infinite

Bogosity

preprocess40.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/l*`
1124×	`associate-r`
1066×	`associate-/r*`
890×	`associate-l`
680×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	58
1	48	54
2	78	54
3	157	54
4	375	46
5	1504	34

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
1260×	`associate-/l*`
1064×	`associate-/r*`
1038×	`associate-l`
904×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	130	21
5	352	15
6	1351	15

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Accurracy

99.6%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	98.4%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize52.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	98.7%	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 40 to 14 computations (65% saved)

series5.0ms (0.1%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.0ms	x	@	inf	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms	x	@	0	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite85.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`log-prod`
620×	`pow-prod-down`
572×	`prod-diff`
546×	`fma-def`
526×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	265	52
2	3558	52

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

Outputs
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (expm1.f64 (+.f64 x x))) 1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x))) 1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) 1) (expm1.f64 x))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 (exp.f64 x) 1)
(+.f64 0 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

simplify96.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-def`
946×	`associate-/l*`
936×	`distribute-lft-in`
878×	`distribute-rgt-in`
826×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	6495
1	753	6119
2	2372	5911

Stop Event

1×	node limit

Counts

269 → 177

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (expm1.f64 (+.f64 x x))) 1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x))) 1/2) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) 1) (expm1.f64 x))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 (exp.f64 x) 1)
(+.f64 0 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (/.f64 7/192 (/.f64 (sqrt.f64 2) (pow.f64 x 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
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(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 1 (exp.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 2))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) 6)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) 6)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval43.0ms (1.1%)

Compiler: Compiled 2134 to 1358 computations (36.4% saved)

prune23.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	174	5	179

Accurracy

99.6%

Counts

179 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
▶	65.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.0%	(sqrt.f64 2)
▶	98.7%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	98.7%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
▶	65.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.0%	(sqrt.f64 2)
▶	98.7%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize78.0ms (2%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 x)))
✓	99.6%	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
✓	99.0%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
✓	100.0%	(sqrt.f64 (+.f64 2 x))
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
✓	98.5%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series49.0ms (1.2%)

Counts

6 → 48

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
19.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
1.0ms	x	@	-inf	(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 2 x))

rewrite99.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`log-prod`
736×	`pow-exp`
530×	`expm1-udef`
530×	`log1p-udef`
510×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	354	84
2	4261	84

Stop Event

1×	node limit

Counts

6 → 282

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (log.f64 (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))) (.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (.f64 1/3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(-.f64 0 (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (exp.f64 x))) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1)) (log.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(-.f64 (log.f64 (*.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(.f64 1/2 (.f64 2 (log1p.f64 (exp.f64 x))))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 x))))
(.f64 3 (.f64 1/3 (log1p.f64 (exp.f64 x))))
(.f64 -2 (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
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(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (neg.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(+.f64 0 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3) 1/3)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))

simplify144.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1648×	`fma-neg`
1458×	`log-prod`
912×	`associate-r`
752×	`associate-l`
462×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	630	7302
1	1408	6870
2	5673	6816

Stop Event

1×	node limit

Counts

330 → 363

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/4 (.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/48 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 (.f64 -1/480 (pow.f64 x 5)) (+.f64 1/2 (+.f64 (.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (log.f64 (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))) (.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (.f64 1/3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(-.f64 0 (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (exp.f64 x))) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1)) (log.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(-.f64 (log.f64 (*.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(.f64 1/2 (.f64 2 (log1p.f64 (exp.f64 x))))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 x))))
(.f64 3 (.f64 1/3 (log1p.f64 (exp.f64 x))))
(.f64 -2 (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (log.f64 (*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 (log1p.f64 (exp.f64 x)) 1/2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4)) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 -1 (.f64 -1/2 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 -1 (/.f64 1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 1 (neg.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 -1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -1)
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (neg.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 x 2))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 x 2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 -1 (/.f64 1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -1)
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (neg.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) -1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) -1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) -1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) -1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 3))
(exp.f64 (.f64 (.f64 3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 0 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/2))
(/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(/.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1)
(pow.f64 (+.f64 (exp.f64 x) 1) -1/2)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1) -1)
(fabs.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) -1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1) -1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (neg.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(+.f64 0 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3) 1/3)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
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(+.f64 0 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/6) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/6) 4) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 1 (-.f64 1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))

eval171.0ms (4.3%)

Compiler: Compiled 6537 to 4733 computations (27.6% saved)

prune81.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	457	2	459
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	458	6	464

Accurracy

99.6%

Counts

464 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
▶	70.0%	(/.f64 1 (sqrt.f64 1/2))
✓	65.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.0%	(sqrt.f64 2)
✓	98.7%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	66.2%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
▶	70.0%	(/.f64 1 (sqrt.f64 1/2))
✓	65.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.0%	(sqrt.f64 2)
✓	98.7%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 70 to 62 computations (11.4% saved)

localize53.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
✓	98.9%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
✓	98.5%	(/.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 36 to 31 computations (13.9% saved)

series3.0ms (0.1%)

Counts

3 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
0.0ms	x	@	0	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`log-prod`
586×	`pow-exp`
574×	`pow-prod-down`
552×	`pow-prod-up`
442×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	271	33
2	3182	33

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))

Outputs
(+.f64 0 (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (pow.f64 1/2 -1/6) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 1/2 -1/6))
(*.f64 (pow.f64 1/2 -1/4) (pow.f64 1/2 -1/4))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (pow.f64 1/2 -1/6))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (pow.f64 1/2 1/6) -3)
(pow.f64 (pow.f64 1/2 -1/6) 3)
(pow.f64 (pow.f64 1/2 3/2) -1/3)
(pow.f64 2 1/2)
(pow.f64 (pow.f64 1/2 -3/2) 1/3)
(pow.f64 (pow.f64 1/2 1/4) -2)
(pow.f64 (pow.f64 1/2 -1/4) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 1/2 -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 1/2) 1/2) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/4)) 2))
(exp.f64 (*.f64 (log.f64 1/2) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) -1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) -1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/3)
(pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) -1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) -2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`times-frac`
872×	`fma-def`
796×	`associate-r`
740×	`associate-l`
714×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	2453
1	687	2273
2	1951	2203

Stop Event

1×	node limit

Counts

133 → 163

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 1/4 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 0 (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (pow.f64 1/2 -1/6) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 1/2 -1/6))
(*.f64 (pow.f64 1/2 -1/4) (pow.f64 1/2 -1/4))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (pow.f64 1/2 -1/6))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (pow.f64 1/2 1/6) -3)
(pow.f64 (pow.f64 1/2 -1/6) 3)
(pow.f64 (pow.f64 1/2 3/2) -1/3)
(pow.f64 2 1/2)
(pow.f64 (pow.f64 1/2 -3/2) 1/3)
(pow.f64 (pow.f64 1/2 1/4) -2)
(pow.f64 (pow.f64 1/2 -1/4) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 1/2 -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 1/2) 1/2) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/4)) 2))
(exp.f64 (*.f64 (log.f64 1/2) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) -1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) -1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/3)
(pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) -1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) -2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 1/4 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (+.f64 1/4 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3)))))))
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2)) (/.f64 (*.f64 5/64 (pow.f64 x 3)) (sqrt.f64 2)))
(fma.f64 1/2 (fma.f64 3/8 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 5/32 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (.f64 -1/64 (/.f64 (.f64 x x) (sqrt.f64 1/2))))
(fma.f64 -1/64 (*.f64 x (/.f64 x (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/128 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (.f64 -1/64 (/.f64 (.f64 x x) (sqrt.f64 1/2)))) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/64 (*.f64 x (/.f64 x (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 0 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 (pow.f64 1/2 -1/6) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 1/2 -1/6))
(*.f64 (pow.f64 1/2 -1/6) (cbrt.f64 2))
(*.f64 (pow.f64 1/2 -1/4) (pow.f64 1/2 -1/4))
(pow.f64 1/2 -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(pow.f64 1/2 -1/2)
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (pow.f64 1/2 -1/6))
(*.f64 (pow.f64 1/2 -1/6) (/.f64 1 (cbrt.f64 1/2)))
(/.f64 (pow.f64 1/2 -1/6) (cbrt.f64 1/2))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (pow.f64 1/2 1/6) -3)
(pow.f64 (pow.f64 1/2 -1/6) 3)
(pow.f64 1/2 -1/2)
(pow.f64 (pow.f64 1/2 3/2) -1/3)
(*.f64 (pow.f64 (pow.f64 1/2 3/2) -1/6) (pow.f64 (pow.f64 1/2 3/2) -1/6))
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (pow.f64 1/2 -3/2) 1/3)
(pow.f64 1/2 -1/2)
(pow.f64 (pow.f64 1/2 1/4) -2)
(pow.f64 (pow.f64 1/2 -1/4) 2)
(pow.f64 1/2 -1/2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) -1)
(pow.f64 1/2 -1/2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(cbrt.f64 (pow.f64 1/2 -3/2))
(pow.f64 1/2 -1/2)
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(pow.f64 1/2 -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) -1))
(pow.f64 1/2 -1/2)
(exp.f64 (.f64 (.f64 (log.f64 1/2) 1/2) -1))
(pow.f64 1/2 -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 1/2)) -1) 1))
(pow.f64 1/2 -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) 1))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/6)) 3))
(pow.f64 1/2 -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -3/2)) 1/3))
(pow.f64 1/2 -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 1/2 -1/4)) 2))
(pow.f64 1/2 -1/2)
(exp.f64 (*.f64 (log.f64 1/2) -1/2))
(pow.f64 1/2 -1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) 3)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) -1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) -1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/6) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/6))
(pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/2)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) 1/3)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) 2)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1) 1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)) 2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(+.f64 0 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/6))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/16)))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 x (.f64 x 1/16)))) (sqrt.f64 (fma.f64 x 1/4 1/2)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/16) 1/4)) (sqrt.f64 (fma.f64 x 1/4 1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6) 3)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) -3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) -1/6) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2) -1/6))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) -2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1) 1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2) 1))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/6)) 3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))

eval64.0ms (1.6%)

Compiler: Compiled 1827 to 1638 computations (10.3% saved)

prune24.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	163	6	169

Accurracy

99.6%

Counts

169 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
✓	70.0%	(/.f64 1 (sqrt.f64 1/2))
✓	65.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.0%	(sqrt.f64 2)
✓	98.7%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 94 to 77 computations (18.1% saved)

regimes13.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

3 calls:

5.0ms	x
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
99.6%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 86 to 68 computations (20.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -5.0b remaining (-26.7%)

Threshold costs -5b (-26.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

Outputs
(sqrt.f64 2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.0%	1	`x`

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	13	20

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness72.0ms (1.8%)

Rules

1382×	`associate-r`
1260×	`associate-/l*`
1064×	`associate-/r*`
1038×	`associate-l`
904×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	130	21
5	352	15
6	1351	15

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess25.0ms (0.6%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

analyze125.0ms (3.1%)

sample2.5s (61.8%)

preprocess40.0ms (1%)

simplify29.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize52.0ms (1.3%)

series5.0ms (0.1%)

rewrite85.0ms (2.1%)

simplify96.0ms (2.4%)

eval43.0ms (1.1%)

prune23.0ms (0.6%)

localize78.0ms (2%)

series49.0ms (1.2%)

rewrite99.0ms (2.5%)

simplify144.0ms (3.6%)

eval171.0ms (4.3%)

prune81.0ms (2%)

localize53.0ms (1.3%)

series3.0ms (0.1%)

rewrite79.0ms (2%)

simplify61.0ms (1.5%)

eval64.0ms (1.6%)

prune24.0ms (0.6%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness72.0ms (1.8%)

end0.0ms (0%)

preprocess25.0ms (0.6%)

Profiling